In the given figure AB = AC and $\angle$ACD = 105°, then BAC is equal to

• 60°
  
  

• 105°
  
  

• 30°
  
  

• 75°

If 30% of (B- A) = 18% of (A + B), then the ratio A : B will be

• 4:1
  
  

• 5:3
  
  

• 1:4

• 5:2

Two numbers are in the ratio 3:4. The product of their HCF and LCM is 2028. Then sum of the number will be

• 72
  
  

• 86
  
  

• 68
  
  

• 91

If a*b=(a X b)+ b,then 5*7 is equal to

• 35
  
  

• 42
  
  

• 12
  
  

• 59

Which of the following is the best method to teach geometry?

• Play method
  
  

• Drill method
  
  

• Formula-based method
  
  

• Display method

6.

An article is sold at 20% profit. If its cost price is increased by $₹$50 and at the same time if its selling price is also increased by 30, the percentage of profit decreased by $3\frac{1}{3}$%,then the cost price is

• $₹$851
   

• $₹$852
  
  

• $₹$850
  
  

• $₹$853

The minimum value of (x-2)(x-9)

• $\frac{49}{4}$

• 0

• $\frac{11}{4}$

• $-\frac{49}{4}$

Find the square root of(272)²- (128)².

• 200
  
  

• 240
  
  

• 256
  
  

• 144

If each edge of a cube is doubled, then the percentage increase in its total surface area is

• 200%
  
  

• 300%
  
  

• 150%

• 600%

If $\frac{a}{3}=\frac{b}{2}=\frac{c}{1}$, then$\frac{a+b+2c}{b}$

• 3.8

• 4

• 3.5

• 5